If a variable takes value 0,1,2,3,....,n with frequencies `1`,`C_1`,`C_2`,.....,`C_n`

If a variable takes value 0,1,2,3,....,n with frequencies 1,C(n,1),C(n,2),C(n,3),...,C(n,n) respectively, then the arithmetic mean is

If a variable takes the values 0,1,2,…. N with frequencies 1, ""^(n)C_(1),""^(n)C_(2),......""^(n)C_(n) then AM is

If a variable X takes values of 0,1,2, .... n with frequencies \ \ ^n C_0,\ ^n C_1,\ ^n C_2,..... ,\ ^n C_n , then variance of distribution is

If the variable takes values 0,1,2,…, n with frequencies q^(n),""^(n)C_(1)q^(n-1)p, ""^(n)C_(2)q^(n-2)p^(2), ... ""^(n)C_(n)p^(n), " where " p+q=1 , then the mean is

If a variable x takes values 0,1,2,..,n with frequencies proportional to the binomial coefficients .^(n)C_(0),.^(n)C_(1),.^(n)C_(2),..,.^(n)C_(n) , then var (X) is

If a variable x takes values 0,1,2,..,n with frequencies proportional to the binomial coefficients .^(n)C_(0),.^(n)C_(1),.^(n)C_(2),..,.^(n)C_(n) , then var (X) is

If a variable x takes values 0,1,2,..,n with frequencies proportional to the binomial coefficients .^(n)C_(0),.^(n)C_(1),.^(n)C_(2),..,.^(n)C_(n) , then var (X) is